Free Printable 11 Methods Essentials Test

1.

Expand and simplify

(5y - 1) (y - 2)

a)

6y² - 11y + 2

b)

5y² - 11y + 2

c)

5y² - 11y - 3

d)

5y - 11y + 2

2.

$12x^2-27$ Factorise fully:

a)

$\left(4x^2-9\right)$

b)

$3\left(4x^2-9\right)$

c)

$\left(2x-3\right)\left(2x+3\right)$

d)

$3\left(2x-3\right)\left(2x+3\right)$

3.

Which one is a factor of: 2n² + 13n + 15

a)

(5n - 9)

b)

(n + 4)

c)

(2n + 3)

d)

(3n+7)

4.

Which of the following is a perfect square trinomial?

a)

x² – 18x + 81

b)

x² – 12x + 6

c)

x² + 20x + 40

d)

x² – 12x – 36

5.

Given A ( 5, 2 ) and B ( 1, 10 ).

Find the gradient of line AB.

a)

$2$

b)

$-2$

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

6.

Which line has the equation

y = 2x + 1

a)

b)

c)

d)

7.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

$2x-y-2=0$

b)

$2x-y-10=0$

c)

$2x-y+2=0$

d)

$2x-y+10=0$

8.

Find the slope of the straight line $2x-6y+9=0$ .

a)

-3

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

3

9.

Which of the following lines is parallel to
$2x+3y=5$

a)

$y=-\frac{1}{3}x+1$

b)

$y=2x-3$

c)

$y=-\frac{2}{3}x+2$

d)

$y=-\frac{3}{2}x-1$

10.

Which ordered pair is NOT a solution of the equation $2x+y=7$ ?

a)

$\left(4,-1\right)$

b)

$\left(3,\ 2\right)$

c)

$\left(1,\ 5\right)$

d)

$\left(0,\ 7\right)$

11.

Distance between P(0,1) and Q(3,5) is

a)

3

b)

4

c)

5

d)

15

12.

What is the equation of this line?

a)

y = -1x+3

b)

y = 4x+3

c)

y =1/4x+3

d)

y = -4x+3

13.

Which of the following points is the point of intersection of the lines y = 2x + 1 and y = - x + 7

a)

(-2, 9)

b)

(8, -1)

c)

(2, 5)

d)

(6, 13)

14.

Express the following equation in the form of

y = mx + c

a)

y = 6x + 12

b)

2y = 6x + 12

c)

y = 3x + 6

d)

y = -3x + 6

15.

Solve : 5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

16.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

17.

Solve for b: $\frac{4b+8}{-2}=10$

a)

b = 3

b)

b = -7

c)

b = 7

d)

b = -3

18.

$\frac{x}{6}-\frac{x}{8}=\frac{5}{6}$

a)

$x=\frac{20}{7}$

b)

$x=20$

c)

$x=\frac{5}{3}$

d)

$x=\frac{21}{6}$

19.

Factorise the expression:

x² + 9x + 20

a)

(x + 4)(x + 5)

b)

(x - 4)(x - 5)

c)

(x + 3)(x + 6)

d)

(x - 3)(x - 6)

20.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

21.

Find the vertex of

y=3\left(x-2\right)^2+3

a)

$\left(2,3\right)$

b)

$\left(-2,3\right)$

c)

$\left(2,-3\right)$

d)

$\left(-2,-3\right)$

22.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(0, 7)

d)

(0, -7)

23.

What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

24.

Which equation best represents the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

25.

The solution is:

a)

r = -3, 4

b)

r = 3, 4

c)

r = -4, -3

d)

r = -3

26.

Solve the system of equations using substitution:

-4x + 4y = 8

y = -2x - 10

a)

(-4, -2)

b)

(12, -34)

c)

(4, -18)

d)

(-2, -6)

27.

$\frac{3x^2y^3}{2xy^2\times6x^3y^{-2}}=$

a)

$\frac{y^3}{4x^2}$

b)

$\frac{3y^{-3}}{4x^4}$

c)

$\frac{x^{-4}y^7}{4}$

d)

$\frac{x^{-4}y^7}{4}$

28.

$\left(3x^2y^{-1}\right)^3=$

a)

$\frac{3x^6}{y^3}$

b)

$\frac{27x^6}{y^{-3}}$

c)

$3x^6y^{-3}$

d)

$\frac{27x^6}{y^3}$

29.

$\sqrt{5}+\sqrt{5}=$

a)

$2\sqrt{5}$

b)

$0$

c)

$5$

d)

$\sqrt{10}$

30.

$\sqrt{12}=$

a)

$2\sqrt{3}$

b)

$3\sqrt{2}$

c)

$4\sqrt{3}$

d)

$3\sqrt{4}$

31.

$2\sqrt{5}+3\sqrt{5}=$

a)

$5\sqrt{5}$

b)

$6\sqrt{5}$

c)

$5\sqrt{10}$

d)

$6\sqrt{10}$

32.

sin 30 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

33.

cos 45 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

1

34.

Determine the exact value of $\sin\ 120\degree$

a)

$\frac{\sqrt{2}}{2}$

b)

$-\frac{\sqrt{3}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

0

35.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

36.

Choose the correct ratio.

a)

sin^-1(12/29)

b)

cos^-1(12/29)

c)

tan^-1(12/29)

d)

tan^-1(29/12)

37.

Calculate 20% of 70

a)

12

b)

14

c)

16

d)

18

11 Methods Essentials Test

Total questions: 37

Worksheet time: 39mins

Similar Resources on Wayground